Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#17988374 |
| Sylow | C73 ⋊ C2×AΣL(1,𝔽16) |
438 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 77 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1034 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#17988374, AΣL(1,𝔽16)×Dic73, #33001131, … |
| maximal normal subgroup of | C4×#17988374, AΣL(1,𝔽16)×Dic73, #33001131, … |
| maximal quotient of | C2×#22607859, C2×#22607879, #32995234, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 6142);